显式有限元程序缓存效率的提高及其在并行铸造凝固模拟中的应用
Improvement Cache Efficiency of Explicit Finite Element Procedure and its Application to Parallel Casting Solidification Simulation
摘要：
提出了一种提高串行和并行显式有限程序缓存效率的简单方法，并将其应用于三维复杂几何形状的铸件凝固模拟。该方法基于将全局数据划分为更小的块，并且在每个时间步独立于其他块来处理每个块。提出了一种新的非重叠单元基分解域的并行有限元算法，实现了该方法的串行和并行版本。网格重排的效率的影响进行了研究。提出了一种简单的高质量解耦网格分解算法。我们的结果表明，10- 20%的性能提高网格重新排序和1.2-2.2的加速比与应用程序的高速缓存有效的算法（串行和并行版本）。此外，所提出的并行求解器（没有高速缓存效率的功能）在传统的以太网联网的Linux集群上显示出接近线性的加速比。
英文摘要：
A simple method for improving cache efficiency of serial and parallel explicit finite procedure with application to casting solidification simulation over three-dimensional complex geometries is presented. The method is based on division of the global data to smaller blocks and treating each block independently from others at each time step. A novel parallel finite element algorithm for non-overlapped element-base decomposed domain is presented for implementation of serial and parallel version of the presented method. Effect of mesh reordering on the efficiency is also investigated. A simple algorithm is presented for high quality decomposition of decoupled global mesh. Our result shows 10-20 \% performance improvement by mesh reordering and 1.2-2.2 speedup with application of the presented cache efficient algorithm (for serial and parallel versions). Also the presented parallel solver (without cache-efficient feature) shows nearly linear speedup on the traditional Ethernet networked Linux cluster.
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